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Finding the Third Proportional to 374,911 and 535,747

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Solution

The third proportional to 374,911 and 535,747 is: 765,581.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,911 : 535,747 = 535,747 : x
  2. Step 2: Convert to fraction form
    374,911/535,747 = 535,747/x
  3. Step 3: Cross multiply
    374,911x = 535,747 × 535,747
  4. Step 4: Simplify right side
    374,911x = 287,024,848,009
  5. Step 5: Solve for x
    x = 287,024,848,009/374,911
  6. Step 6: Final answer
    x = 765,581.29

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.